Results (displaying all 7 matches)
| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 5.6.0.1 | x6 - x + 2 | 5 | 1 | 6 | 0 | $C_6$ (as 6T1) | $ [\ ]^{6}$ |
| 5.6.3.1 | x6 - 10x4 + 25x2 - 500 | 5 | 2 | 3 | 3 | $C_6$ (as 6T1) | $ [\ ]_{2}^{3}$ |
| 5.6.3.2 | x6 - 25x2 + 250 | 5 | 2 | 3 | 3 | $C_6$ (as 6T1) | $ [\ ]_{2}^{3}$ |
| 5.6.4.1 | x6 + 25x3 + 200 | 5 | 3 | 2 | 4 | $S_3$ (as 6T2) | $ [\ ]_{3}^{2}$ |
| 5.6.4.2 | x6 - 5x3 + 50 | 5 | 3 | 2 | 4 | $S_3\times C_3$ (as 6T5) | $ [\ ]_{3}^{6}$ |
| 5.6.5.1 | x6 - 5 | 5 | 6 | 1 | 5 | $D_{6}$ (as 6T3) | $ [\ ]_{6}^{2}$ |
| 5.6.5.2 | x6 + 10 | 5 | 6 | 1 | 5 | $D_{6}$ (as 6T3) | $ [\ ]_{6}^{2}$ |